Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 302, 482, 51, 678 i.e. 1 largest integer that divides all the numbers equally.
GCD of 302, 482, 51, 678 is 1
GCD(302, 482, 51, 678) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 302, 482, 51, 678 is 1
GCD(302, 482, 51, 678) = 1
Given Input numbers are 302, 482, 51, 678
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Greatest Common Divisior
We found the divisors of 302, 482, 51, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 482, 51, 678 is 1.
Therefore, GCD of numbers 302, 482, 51, 678 is 1
Given Input Data is 302, 482, 51, 678
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 302 is 2 x 151
Prime Factorization of 482 is 2 x 241
Prime Factorization of 51 is 3 x 17
Prime Factorization of 678 is 2 x 3 x 113
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(302, 482) = 72782
GCD(302, 482) = ( 302 x 482 ) / 72782
GCD(302, 482) = 145564 / 72782
GCD(302, 482) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 51) = 102
GCD(2, 51) = ( 2 x 51 ) / 102
GCD(2, 51) = 102 / 102
GCD(2, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 678
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
GCD(1, 678) = 678 / 678
GCD(1, 678) = 1
GCD of 302, 482, 51, 678 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 302, 482, 51, 678?
GCD of 302, 482, 51, 678 is 1
2. Where do I get the detailed procedure to find GCD of 302, 482, 51, 678?
You can find a detailed procedure to find GCD of 302, 482, 51, 678 on our page.
3. How to find GCD of 302, 482, 51, 678 on a calculator?
You can find the GCD of 302, 482, 51, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.